Graph forms
for C4 [ 192, 71 ] = PL(BC_48({0,24},{1,7})
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On this page are computer-accessible forms for the graph C4[ 192, 71 ] =
PL(BC_48({0,24},{1,7}).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {56, 57}, {56, 58}, {80, 83}, {80, 84}, {96, 101}, {96, 102},
{168, 175}, {1, 9}, {167, 175}, {151, 159}, {150, 158}, {53, 61}, {1, 8}, {151,
158}, {150, 159}, {52, 61}, {183, 189}, {48, 59}, {182, 189}, {4, 8}, {48, 60},
{38, 42}, {37, 41}, {4, 9}, {55, 58}, {55, 57}, {37, 42}, {38, 41}, {174, 190},
{175, 191}, {77, 92}, {175, 190}, {174, 191}, {166, 183}, {2, 16}, {165, 183},
{143, 157}, {78, 92}, {45, 63}, {44, 62}, {3, 17}, {2, 17}, {142, 157}, {47,
60}, {45, 62}, {44, 63}, {3, 16}, {47, 59}, {39, 50}, {78, 91}, {39, 49}, {77,
91}, {96, 118}, {96, 119}, {167, 176}, {168, 176}, {40, 49}, {40, 50}, {79, 84},
{79, 83}, {165, 184}, {166, 184}, {6, 38}, {139, 171}, {138, 170}, {7, 39}, {88,
120}, {6, 39}, {139, 170}, {138, 171}, {30, 63}, {7, 38}, {89, 120}, {29, 63},
{14, 40}, {81, 119}, {15, 40}, {81, 118}, {3, 43}, {22, 62}, {21, 61}, {4, 44},
{15, 37}, {14, 37}, {22, 61}, {21, 62}, {89, 117}, {88, 117}, {146, 191}, {20,
58}, {145, 191}, {142, 160}, {3, 44}, {143, 160}, {20, 59}, {4, 43}, {12, 60},
{87, 103}, {88, 104}, {2, 51}, {13, 60}, {1, 51}, {91, 105}, {90, 105}, {13,
57}, {138, 190}, {137, 189}, {1, 52}, {12, 57}, {135, 178}, {2, 52}, {90, 108},
{135, 177}, {91, 108}, {138, 189}, {137, 190}, {82, 106}, {83, 107}, {82, 107},
{83, 106}, {95, 102}, {136, 177}, {95, 101}, {147, 169}, {136, 178}, {146, 169},
{133, 185}, {134, 186}, {5, 59}, {146, 172}, {5, 58}, {147, 172}, {87, 104},
{88, 103}, {133, 186}, {134, 185}, {46, 111}, {45, 111}, {36, 98}, {36, 99},
{54, 126}, {55, 127}, {54, 127}, {55, 126}, {25, 72}, {145, 192}, {26, 72},
{146, 192}, {47, 125}, {46, 125}, {22, 66}, {23, 67}, {22, 67}, {23, 66}, {53,
109}, {54, 110}, {30, 68}, {31, 68}, {54, 109}, {53, 110}, {26, 71}, {45, 112},
{32, 125}, {29, 64}, {25, 71}, {46, 112}, {32, 126}, {31, 65}, {30, 64}, {30,
65}, {13, 108}, {31, 126}, {20, 117}, {14, 108}, {31, 125}, {20, 118}, {33, 69},
{34, 70}, {14, 107}, {19, 118}, {11, 109}, {19, 117}, {13, 107}, {10, 109}, {34,
69}, {33, 70}, {24, 127}, {23, 127}, {5, 105}, {6, 106}, {41, 71}, {5, 106},
{41, 70}, {6, 105}, {11, 120}, {12, 120}, {52, 64}, {49, 69}, {48, 69}, {53,
64}, {21, 99}, {182, 192}, {21, 98}, {183, 192}, {28, 100}, {48, 72}, {29, 100},
{49, 72}, {10, 112}, {11, 112}, {12, 119}, {11, 119}, {29, 97}, {19, 111}, {18,
110}, {18, 111}, {28, 97}, {19, 110}, {56, 70}, {56, 71}, {32, 166}, {33, 167},
{32, 167}, {33, 166}, {16, 153}, {16, 154}, {26, 136}, {8, 155}, {27, 136}, {8,
156}, {15, 154}, {15, 153}, {23, 128}, {24, 128}, {28, 132}, {27, 131}, {7,
156}, {7, 155}, {27, 133}, {26, 133}, {28, 131}, {27, 132}, {35, 130}, {35,
129}, {34, 134}, {35, 135}, {34, 135}, {36, 129}, {35, 134}, {36, 130}, {42,
130}, {43, 131}, {10, 163}, {43, 130}, {42, 131}, {9, 163}, {9, 164}, {10, 164},
{46, 128}, {47, 128}, {17, 161}, {24, 168}, {18, 162}, {25, 168}, {51, 129},
{17, 162}, {50, 129}, {18, 161}, {50, 132}, {51, 132}, {25, 165}, {24, 165},
{75, 139}, {77, 141}, {76, 140}, {93, 157}, {94, 158}, {116, 180}, {122, 186},
{123, 187}, {77, 140}, {116, 181}, {122, 187}, {123, 186}, {93, 158}, {94, 157},
{113, 181}, {113, 180}, {92, 154}, {93, 155}, {75, 140}, {76, 139}, {92, 155},
{93, 154}, {84, 156}, {85, 156}, {86, 159}, {85, 159}, {121, 179}, {121, 178},
{85, 153}, {84, 153}, {114, 188}, {124, 178}, {115, 188}, {124, 179}, {99, 179},
{100, 180}, {99, 180}, {100, 179}, {74, 147}, {98, 187}, {73, 147}, {79, 149},
{78, 148}, {97, 187}, {78, 149}, {79, 148}, {80, 140}, {73, 148}, {80, 141},
{97, 188}, {74, 148}, {98, 188}, {115, 173}, {114, 173}, {115, 144}, {116, 144},
{114, 151}, {113, 151}, {113, 152}, {114, 152}, {65, 173}, {66, 174}, {121,
149}, {122, 150}, {103, 137}, {65, 174}, {66, 173}, {102, 137}, {121, 150},
{122, 149}, {68, 181}, {90, 171}, {124, 141}, {68, 182}, {75, 185}, {74, 184},
{86, 164}, {89, 171}, {124, 142}, {74, 185}, {75, 184}, {87, 164}, {101, 145},
{67, 182}, {85, 160}, {89, 172}, {101, 144}, {123, 142}, {67, 181}, {86, 160},
{87, 161}, {90, 172}, {123, 141}, {86, 161}, {73, 177}, {81, 169}, {82, 170},
{104, 144}, {73, 176}, {104, 145}, {81, 170}, {82, 169}, {116, 143}, {76, 176},
{94, 162}, {95, 163}, {115, 143}, {76, 177}, {94, 163}, {95, 162}, {102, 152},
{103, 152} }>;
(II) A more general form is to represent the graph as the orbit of {56, 57}
under the group generated by the following permutations:
a: (73, 76)(74, 75)(77, 79)(78, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86,
94)(87, 95)(88, 96)(101, 103)(102, 104)(105, 106)(107, 108)(113, 116)(114,
115)(117, 118)(119, 120)(121, 124)(122, 123)(137, 145)(138, 146)(139, 147)(140,
148)(141, 149)(142, 150)(143, 151)(144, 152)(153, 154)(155, 156)(157, 159)(158,
160)(161, 162)(163, 164)(169, 171)(170, 172)(189, 192)(190, 191) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (2, 4)(5, 55)(6, 54)(7, 53)(8, 52)(9, 51)(10, 50)(11, 49)(12, 48)(13, 47)(14,
46)(15, 45)(16, 44)(17, 43)(18, 42)(19, 41)(20, 56)(21, 85)(22, 84)(23, 83)(24,
82)(25, 81)(26, 96)(27, 95)(28, 94)(29, 93)(30, 92)(31, 91)(32, 90)(33, 89)(34,
88)(35, 87)(36, 86)(37, 111)(38, 110)(39, 109)(40, 112)(57, 59)(61, 156)(62,
153)(63, 154)(64, 155)(65, 77)(66, 80)(67, 79)(68, 78)(69, 120)(70, 117)(71,
118)(72, 119)(73, 189)(74, 192)(75, 191)(76, 190)(97, 157)(98, 160)(99,
159)(100, 158)(101, 133)(102, 136)(103, 135)(104, 134)(105, 126)(106, 127)(107,
128)(108, 125)(113, 121)(114, 124)(115, 123)(116, 122)(129, 164)(130, 161)(131,
162)(132, 163)(137, 177)(138, 176)(139, 175)(140, 174)(141, 173)(142, 188)(143,
187)(144, 186)(145, 185)(146, 184)(147, 183)(148, 182)(149, 181)(150, 180)(151,
179)(152, 178)(165, 169)(166, 172)(167, 171)(168, 170)
c: (21, 29)(22, 30)(23, 31)(24, 32)(25, 33)(26, 34)(27, 35)(28, 36)(61, 64)(62,
63)(65, 67)(66, 68)(69, 72)(70, 71)(73, 74)(75, 76)(97, 99)(98, 100)(113,
114)(115, 116)(121, 122)(123, 124)(125, 128)(126, 127)(129, 132)(130, 131)(133,
135)(134, 136)(165, 167)(166, 168)(173, 181)(174, 182)(175, 183)(176, 184)(177,
185)(178, 186)(179, 187)(180, 188)(189, 190)(191, 192)
d: (73, 76)(74, 75)(77, 78)(79, 80)(101, 102)(103, 104)(113, 116)(114, 115)(121,
124)(122, 123)(137, 145)(138, 146)(139, 147)(140, 148)(141, 149)(142, 150)(143,
151)(144, 152)(157, 158)(159, 160)(169, 170)(171, 172)(189, 192)(190, 191)
e: (21, 29)(22, 30)(23, 31)(24, 32)(25, 33)(26, 34)(27, 35)(28, 36)(61, 64)(62,
63)(65, 66)(67, 68)(69, 72)(70, 71)(97, 98)(99, 100)(125, 128)(126, 127)(129,
132)(130, 131)(133, 134)(135, 136)(165, 166)(167, 168)
f: (1, 2)(3, 4)(5, 13)(6, 14)(7, 15)(8, 16)(9, 17)(10, 18)(11, 19)(12, 20)(37,
38)(39, 40)(57, 58)(59, 60)(105, 108)(106, 107)(109, 110)(111, 112)(117,
120)(118, 119)(153, 156)(154, 155)(161, 164)(162, 163)
g: (2, 4)(5, 48)(6, 49)(7, 50)(8, 51)(9, 52)(10, 53)(11, 54)(12, 55)(13, 56)(14,
41)(15, 42)(16, 43)(17, 44)(18, 45)(19, 46)(20, 47)(21, 94)(22, 95)(23, 96)(24,
81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34,
91)(35, 92)(36, 93)(38, 40)(58, 60)(61, 163)(62, 162)(63, 161)(64, 164)(65,
103)(66, 102)(67, 101)(68, 104)(69, 105)(70, 108)(71, 107)(72, 106)(73, 75)(77,
135)(78, 134)(79, 133)(80, 136)(97, 159)(98, 158)(99, 157)(100, 160)(110,
112)(113, 115)(117, 125)(118, 128)(119, 127)(120, 126)(121, 123)(129, 155)(130,
154)(131, 153)(132, 156)(137, 174)(138, 175)(139, 176)(140, 177)(141, 178)(142,
179)(143, 180)(144, 181)(145, 182)(146, 183)(147, 184)(148, 185)(149, 186)(150,
187)(151, 188)(152, 173)(165, 169)(166, 172)(167, 171)(168, 170)(189, 191)
h: (1, 37)(2, 38)(3, 39)(4, 40)(5, 18)(6, 17)(7, 16)(8, 15)(9, 14)(10, 13)(11,
12)(19, 20)(21, 34)(22, 33)(23, 32)(24, 31)(25, 30)(26, 29)(27, 28)(35, 36)(41,
52)(42, 51)(43, 50)(44, 49)(45, 48)(46, 47)(53, 56)(54, 55)(57, 109)(58,
110)(59, 111)(60, 112)(61, 70)(62, 69)(63, 72)(64, 71)(65, 165)(66, 166)(67,
167)(68, 168)(73, 116)(74, 115)(75, 114)(76, 113)(77, 159)(78, 160)(79, 157)(80,
158)(81, 96)(82, 95)(83, 94)(84, 93)(85, 92)(86, 91)(87, 90)(88, 89)(97,
133)(98, 134)(99, 135)(100, 136)(101, 169)(102, 170)(103, 171)(104, 172)(105,
161)(106, 162)(107, 163)(108, 164)(121, 124)(122, 123)(125, 128)(126, 127)(129,
130)(131, 132)(137, 138)(139, 152)(140, 151)(141, 150)(142, 149)(143, 148)(144,
147)(145, 146)(153, 155)(154, 156)(173, 184)(174, 183)(175, 182)(176, 181)(177,
180)(178, 179)(185, 188)(186, 187)(189, 190)(191, 192)
m: (1, 61, 99, 113, 159, 161, 3, 63, 97, 115, 157, 163)(2, 62, 100, 114, 160,
162, 4, 64, 98, 116, 158, 164)(5, 56, 33, 184, 147, 90, 13, 48, 25, 176, 139,
82)(6, 55, 34, 183, 148, 89, 14, 47, 26, 175, 140, 81)(7, 54, 35, 182, 149, 88,
15, 46, 27, 174, 141, 96)(8, 53, 36, 181, 150, 87, 16, 45, 28, 173, 142, 95)(9,
52, 21, 180, 151, 86, 17, 44, 29, 188, 143, 94)(10, 51, 22, 179, 152, 85, 18,
43, 30, 187, 144, 93)(11, 50, 23, 178, 137, 84, 19, 42, 31, 186, 145, 92)(12,
49, 24, 177, 138, 83, 20, 41, 32, 185, 146, 91)(37, 125, 133, 191, 77, 119, 39,
127, 135, 189, 79, 117)(38, 126, 134, 192, 78, 120, 40, 128, 136, 190, 80,
118)(57, 69, 165, 73, 171, 107, 59, 71, 167, 75, 169, 105)(58, 70, 166, 74, 172,
108, 60, 72, 168, 76, 170, 106)(65, 123, 101, 155, 109, 129, 67, 121, 103, 153,
111, 131)(66, 124, 102, 156, 110, 130, 68, 122, 104, 154, 112, 132)
C4[ 192, 71 ]
192
-1 51 8 52 9
-2 16 17 51 52
-3 44 16 17 43
-4 44 8 9 43
-5 58 59 105 106
-6 38 39 105 106
-7 155 156 38 39
-8 1 155 156 4
-9 1 4 163 164
-10 112 163 109 164
-11 112 119 109 120
-12 57 60 119 120
-13 57 60 107 108
-14 37 40 107 108
-15 154 37 40 153
-16 154 2 3 153
-17 2 3 161 162
-18 110 111 161 162
-19 110 111 117 118
-20 58 59 117 118
-21 99 61 62 98
-22 66 67 61 62
-23 66 67 127 128
-24 165 168 127 128
-25 165 168 71 72
-26 133 136 71 72
-27 132 133 136 131
-28 132 100 97 131
-29 100 63 64 97
-30 68 63 64 65
-31 68 125 126 65
-32 166 167 125 126
-33 166 167 69 70
-34 134 69 135 70
-35 134 135 129 130
-36 99 129 130 98
-37 14 15 41 42
-38 6 7 41 42
-39 49 6 50 7
-40 14 15 49 50
-41 37 70 38 71
-42 37 38 130 131
-43 3 4 130 131
-44 3 4 62 63
-45 111 112 62 63
-46 111 112 125 128
-47 59 125 60 128
-48 69 59 60 72
-49 69 39 72 40
-50 132 39 40 129
-51 132 1 2 129
-52 1 2 61 64
-53 110 61 64 109
-54 110 126 127 109
-55 57 58 126 127
-56 57 58 70 71
-57 55 12 56 13
-58 55 56 5 20
-59 47 48 5 20
-60 12 13 47 48
-61 22 52 53 21
-62 22 44 45 21
-63 44 45 29 30
-64 29 30 52 53
-65 30 173 31 174
-66 22 23 173 174
-67 22 23 181 182
-68 181 182 30 31
-69 33 34 48 49
-70 33 34 56 41
-71 56 25 26 41
-72 25 26 48 49
-73 176 177 147 148
-74 147 148 184 185
-75 139 140 184 185
-76 176 177 139 140
-77 91 92 140 141
-78 91 92 148 149
-79 148 83 149 84
-80 83 84 140 141
-81 169 170 118 119
-82 169 170 106 107
-83 79 80 106 107
-84 79 156 80 153
-85 156 159 160 153
-86 159 160 161 164
-87 103 104 161 164
-88 103 104 117 120
-89 171 117 172 120
-90 105 171 172 108
-91 77 78 105 108
-92 77 154 78 155
-93 154 155 157 158
-94 157 158 162 163
-95 101 102 162 163
-96 101 102 118 119
-97 187 188 28 29
-98 187 188 36 21
-99 36 179 180 21
-100 179 180 28 29
-101 144 145 95 96
-102 137 95 96 152
-103 88 137 152 87
-104 88 144 145 87
-105 90 91 5 6
-106 5 82 6 83
-107 13 14 82 83
-108 13 90 14 91
-109 11 53 10 54
-110 18 19 53 54
-111 45 46 18 19
-112 11 45 46 10
-113 180 181 151 152
-114 188 151 173 152
-115 143 144 188 173
-116 143 144 180 181
-117 88 89 19 20
-118 81 19 96 20
-119 11 12 81 96
-120 11 88 12 89
-121 178 179 149 150
-122 187 149 150 186
-123 187 141 142 186
-124 178 179 141 142
-125 46 47 31 32
-126 55 31 32 54
-127 55 23 24 54
-128 23 24 46 47
-129 35 36 50 51
-130 35 36 42 43
-131 27 28 42 43
-132 27 28 50 51
-133 26 27 185 186
-134 34 35 185 186
-135 34 177 35 178
-136 177 178 26 27
-137 189 102 190 103
-138 189 190 170 171
-139 170 171 75 76
-140 77 80 75 76
-141 77 123 80 124
-142 123 124 157 160
-143 157 115 116 160
-144 101 104 115 116
-145 101 191 104 192
-146 169 191 192 172
-147 169 73 172 74
-148 78 79 73 74
-149 121 78 122 79
-150 121 122 158 159
-151 113 114 158 159
-152 102 113 103 114
-153 15 16 84 85
-154 15 92 16 93
-155 92 93 7 8
-156 7 84 8 85
-157 143 93 94 142
-158 93 94 150 151
-159 150 85 151 86
-160 143 85 86 142
-161 17 18 86 87
-162 17 94 18 95
-163 94 95 9 10
-164 9 86 10 87
-165 24 25 183 184
-166 33 183 184 32
-167 33 176 32 175
-168 176 24 25 175
-169 146 81 147 82
-170 81 82 138 139
-171 89 90 138 139
-172 89 90 146 147
-173 66 114 115 65
-174 66 190 191 65
-175 167 168 190 191
-176 167 168 73 76
-177 135 136 73 76
-178 121 124 135 136
-179 99 121 100 124
-180 99 100 113 116
-181 67 68 113 116
-182 67 68 189 192
-183 165 166 189 192
-184 165 166 74 75
-185 133 134 74 75
-186 122 133 123 134
-187 122 123 97 98
-188 114 115 97 98
-189 137 138 182 183
-190 137 138 174 175
-191 145 146 174 175
-192 145 146 182 183
0